Restriction estimates of $$\varepsilon $$ ε -removal type for k-th powers and paraboloids
نویسندگان
چکیده
منابع مشابه
Sharp Linear and Bilinear Restriction Estimates for Paraboloids in the Cylindrically Symmetric Case
For cylindrically symmetric functions dyadically supported on the paraboloid, we obtain a family of sharp linear and bilinear adjoint restriction estimates. As corollaries, we first extend the ranges of exponents for the classical linear or bilinear adjoint restriction conjectures for such functions and verify the linear adjoint restriction conjecture for the paraboloid. We also interpret the r...
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If k ≥ 2 is a positive integer the number of representations of a positive integer N as either x1 + x k 2 = N or x k 1 − x2 = N , with integers x1 and x2, is finite. Moreover it is easily shown to be Oε(N), for any ε > 0. It is known that if k = 2 or 3 then the number of representations is unbounded as N varies, but it is conjectured that the number of representations is bounded for k ≥ 4. Inde...
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Patterns in ε ′ / ε and ε K with Implications for Rare Kaon Decays and ∆ M K
The Standard Model (SM) prediction for the ratio ε′/ε appears to be significantly below the experimental data. Also εK in the SM tends to be below the data. Any new physics (NP) removing these anomalies will first of all have impact on flavour observables in the K meson system, in particular on rare decays K+ → π+νν̄, KL → π0νν̄, KL → μ+μ− and KL → π0`+`− and ∆MK . Restricting the operators contr...
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ژورنال
عنوان ژورنال: Mathematische Annalen
سال: 2018
ISSN: 0025-5831,1432-1807
DOI: 10.1007/s00208-018-1650-7